Experimental Reconstruction of Entanglement Quasiprobabilities
J. Sperling, E. Meyer-Scott, S. Barkhofen, B. Brecht, C. Silberhorn

TL;DR
This paper presents the first experimental method to reconstruct entanglement quasiprobabilities, which uniquely identify quantum entanglement and separability, enabling complete quantum state characterization without correction for imperfections.
Contribution
It introduces a novel reconstruction algorithm for entanglement quasiprobabilities and demonstrates its effectiveness on a polarization Bell state.
Findings
Negativities in quasiprobability distributions are necessary and sufficient for entanglement detection.
The method certifies entanglement with high significance without correction for imperfections.
The approach allows full quantum state characterization through quasiprobability reconstruction.
Abstract
We report on the first experimental reconstruction of an entanglement quasiprobability. In contrast to related techniques, the negativities in our distributions are a necessary and sufficient identifier of separability and entanglement and enable a full characterization of the quantum state. A reconstruction algorithm is developed, a polarization Bell state is prepared, and its entanglement is certified based on the reconstructed entanglement quasiprobabilities, with a high significance and without correcting for imperfections.
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